{"id":"W3024630341","doi":"10.1007/s10231-021-01163-w","title":"On the asymptotic enumeration of Cayley graphs","year":2021,"lang":"en","type":"preprint","venue":"Annali di Matematica Pura ed Applicata (1923 -)","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"Università degli Studi di Milano-Bicocca","keywords":"Digraph; Cayley graph; Coset; Combinatorics; Mathematics; Enumeration; Automorphism; Automorphism group; Group (periodic table); Undirected graph; Discrete mathematics; Representation (politics); Graph","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003206502,0.0007570892,0.001410395,0.0002894285,0.000271242,0.0004354095,0.002099646,0.0005795844,0.001791627],"category_scores_gemma":[0.002223818,0.0005476828,0.00054946,0.0006278501,0.0004262615,0.0001188929,0.001614467,0.001497253,0.0004590001],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009793881,"about_ca_system_score_gemma":0.000226295,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006150567,"about_ca_topic_score_gemma":0.00001929187,"domain_scores_codex":[0.993897,0.0009989486,0.00166487,0.00106101,0.001633188,0.0007449801],"domain_scores_gemma":[0.9892463,0.00452002,0.001063803,0.004367244,0.0006014546,0.0002011958],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007694562,0.0006919673,0.00003559253,0.006901004,0.000555436,0.00001487999,0.001076383,0.00004477518,0.002408907,0.9686477,0.01932333,0.0002231315],"study_design_scores_gemma":[0.0003366547,0.0001072585,0.0001355847,0.001975426,0.0002810818,0.00002177872,0.0007646482,0.001978452,0.01501529,0.9784544,0.0002661216,0.0006632684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.957705,0.0005235437,0.008788969,0.004254554,0.0004849324,0.007299227,0.0006033552,0.0004215247,0.01991887],"genre_scores_gemma":[0.9937258,0.000150349,0.002129156,0.0002305023,0.0001365687,0.002141793,0.000488144,0.0001961028,0.000801565],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03602079,"threshold_uncertainty_score":0.9996974,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09499384328803352,"score_gpt":0.3556370668816949,"score_spread":0.2606432235936614,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}